This video demonstrates how to construct a full adder, and how to combine several full adders into a 4-bit adder. The overall process demonstrates how to derive a Boolean expression from a truth table, which is then turned into a combinational/combinatorial circuit.

This video follows on from previous videos about truth tables and Karnaugh maps. It hints at how truth tables and K-maps can be used in circuit design. It covers some well known logic gate combinations including NAND, NOT and XOR, and how logic gates can be combined to make a half adder, then a full adder and ultimately a ripple carry adder capable of multi-bit binary addition.

This video explains the theory and design of the basic adder circuit and how it is used to perform arithmetic operations on two binary numbers stored in registers.
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Let's build a circuit that adds numbers! Binary addition is even easier than decimal addition since you don't have to know how to add numbers larger than 1.
Support me on Patreon: https://www.patreon.com/beneater
You can get all the components used in this video from any online electronic components distributor for a few dollars.
Complete parts list:
2x 74LS86 (Quad two-input XOR gate)
2x 74LS08 (Quad two-input AND gate)
1x 74LS32 (Quad two-input OR gate)
2x 4-position DIP switch
5x LEDs
1x Solderless breadboard
22 gauge wire
USB charger and cable or some other 5v power source

Lecture by Dr.M.Balasubramanian
Full adder using 4x1 Multiplexer -MUX (2)- Digital Electronics (English)
Full adder truth table is explained and K-map is used to prepare implementation table . Than circuit is designed using 4x1 MUX

This video walks you through the construction of half adder. The half-adder circuit is useful when you want to add one bit of numbers. A half adder is built using just two gates, an AND gate to give us the carry term and XOR gate to give the sum term. One more thing to remember is that the half adder does not take carry from the previous sum. The answer to this being that the variables are just one bit. In this video, we referred to three previous videos. Please check them for your better understanding.
1. Binary mathematical operations:
https://www.youtube.com/edit?o=U&video_id=7gmXjdDE1DQ
https://www.youtube.com/edit?o=U&video_id=2lemxMYsJXU
2. AND gate - Basic logic gate:
https://www.youtube.com/edit?o=U&video_id=-6w-MHjwzT0
3. XOR gate - Derived logic gate:
https://www.youtube.com/edit?o=U&video_id=wGilEPBfcT8
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Please watch the video for Introduction to KMAP:
https://youtu.be/t5Bco6PSAkM
Please watch the entire playlist of Digital Electronics by clicking the following link:
https://www.youtube.com/playlist?list=PLsaRQCHmdZTBd8xnz_XqhHYdFGlnDapC4
Please watch the video on Derived gates:
https://youtu.be/wGilEPBfcT8
Please watch the entire playlist of Digital Gates and Boolean Laws by clicking the following link:
https://www.youtube.com/playlist?list=PLsaRQCHmdZTAhZCJcXtCt7nrJjU9TgeKS
Please watch the video: "How accelerometer works? | Working of accelerometer in a smartphone | MEMS inside accelerometer"
https://www.youtube.com/watch?v=T_iXLNkkjFo
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Link to buy reference book:
https://www.amazon.in/gp/product/0070669112/ref=as_li_qf_sp_asin_il_tl?ie=UTF8&tag=pn0ed-21&camp=3638&creative=24630&linkCode=as2&creativeASIN=0070669112&linkId=a17ce7158f65739d382e0e0ce447ddfd
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A description on how to design a half adder, a full adder and a multi-bit ripple carry adder. This video also describes how to create a subtractor circuit using the fact that A-B = A+(-B)...so a subtractor can be made from an adder if one of the inputs is negated.

The addition of multi-bit numbers can be performed using several full adders, the sum of two 4-bit numbers can be done using 4-full adders.
Mr. Raj Kumar Thenua will explain Truth Table, Logic Symbol and Circuit Diagram of Binary Parallel Adder.
Complete Digital Electronics Tutorial: http://www.learnbywatch.com/learn/digital-electronics/
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